The Belgium international was among those to be linked with a lucrative move to Asia during the winter transfer window.
He was, however, to see a 12-month contract extension triggered by United after becoming a key figure in Jose Mourinho’s plans.
Fellaini is delighted to be staying on at Old Trafford, but admits a switch to the CSL may appeal at some stage.
Asked by VTM News whether he could see himself following in the footsteps of countryman Alex Witsel, the 29-year-old midfielder said: “In China? Why not?
“I’m now Manchester United player, but I do not rule out such a transfer in the future.”
Fellaini initially struggled to make an impact at United after following David Moyes from Everton in a £27.5 million transfer in the summer of 2013.
His versatility has, however, made him a useful asset to Mourinho and his 47 appearances in the 2016-17 campaign include outings in Community Shield, EFL Cup and Europa League successes.
Quizzed on why he has thrived under his Portuguese coach, Fellaini added: "He knows how to use me.
“At the start of the season, I played as a No 6, then as a No 8 and then a No 10. I play wherever he needs me.
"He knows my qualities and knows how to use me. If he plays me, I will play there and give my best."